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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 195, Number 1, Pages 27–43
DOI: https://doi.org/10.4213/tmf9409 (Mi tmf9409) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Integrable seven-point discrete equations and second-order evolution chains

V. E. Adler

Landau Institute for Theoretical Physics, RAS, Chernogolovka, Moscow Oblast, Russia
Full-text PDF (565 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf9409
Abstract: We consider differential–difference equations defining continuous symmetries for discrete equations on a triangular lattice. We show that a certain combination of continuous flows can be represented as a second-order scalar evolution chain. We illustrate the general construction with a set of examples including an analogue of the elliptic Yamilov chain.
Keywords: integrability, discrete equation, differential–difference equation, lattice, symmetry.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00289_a
This research is supported by the Russian Foundation for Basic Research (Grant No. 16-01-00289_a).
Received: 01.06.2017
Revised: 13.07.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 195, Issue 1, Pages 513–528
DOI: https://doi.org/10.1134/S0040577918040037
Bibliographic databases:
Document Type: Article
PACS: 02.30.Ik
MSC: 37K10; 37K35
Language: Russian
Citation: V. E. Adler, “Integrable seven-point discrete equations and second-order evolution chains”, TMF, 195:1 (2018), 27–43; Theoret. and Math. Phys., 195:1 (2018), 513–528
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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